The present invention relates to a process to prepare a salt product containing sodium chloride (NaCl) and at least one additive, wherein the salt product has a particle size of from 50 μm to 10 mm, which process comprises the steps of: a) optionally, crushing a sodium chloride-containing material to a particle size that is between 1,000 times smaller and 3 times smaller than the size of the final salt product; b) optionally, crushing the at least one additive starting material to a particle size that is between 0.5 and 2 times the particle size of the sodium chloride-containing material particles resulting from step a.); c) subsequently, mixing the sodium chloride-containing material particles of a particle size that is between 1,000 times smaller and 3 times smaller than the size of the final salt product, and additive particles of a particle size that is between 0.5 and 2.0 times the particle size of the sodium chloride-containing material particles; d) subsequently, compacting the particle mixture resulting from step c.) using a pressure of from 40 to 400 MPa; e. subsequently, crushing the compacted salt product to give particles of the desired particle size of 50 μm to 10 mm; wherein the steps are carried out under substantially dry conditions. Additionally, the invention provides the low sodium salt product obtainable by the process and the use thereof for human or animal consumption.